1

How do you factor #5x^2-11x+2#?

Question

How do you factor #5x^2-11x+2#?
How do you factor #5x^2-11x+2#?

Answers

Factor y = 5x^2 - 11x + 2.

Ans: (5x - 1)(x - 2).

Explanation:

I use the new AC Method to factor trinomials (Socratic Search).
#y = 5x^2 - 11x + 2 =# 5(x + p)(x + q)
Converted trinomial:
#y' = x^2 - 11x + 10 =# (x + p')( x = q').
Find p' and q' knowing sum (b = - 11) and product (ac = 10).
They are: p' = -1, and q' = -10
Therefor: #p = (p')/a = -1/5#, and q = (q')/a = -10/5 = -2
Factored form of y:
#y = 5(x - 1/5)(x - 2) = (5x - 1)(x - 2)#


Similar Solved Questions

1 answers
Find the first five nonzero terms in the solution of the given initial value problem. y"...
Find the first five nonzero terms in the solution of the given initial value problem. y" + xy' + 2y = 0, y(0) = 5, y' (0) = 3...
1 answers
A chemist needs to create a series of standard Cu2+ (aq) solutions for an absorbance experiment....
A chemist needs to create a series of standard Cu2+ (aq) solutions for an absorbance experiment. For the first standard, he uses a pipet to transfer 10.00 mL of a 2.68 M Cu2+ (aq) stock solution to a 250.0 mL volumetric flask, and he adds enough water to dilute to the mark. He then uses a second pip...
1 answers
(1 point) The number of pizzas consumed per month by university students is normally distributed with...
(1 point) The number of pizzas consumed per month by university students is normally distributed with a mean of 14 and a standard deviation of 5. A. What proportion of students consume more than 17 pizzas per month? Probability = B. What is the probability that in a random sample of size 9, a total ...
1 answers
A Pt-204 atom (platinum-204) has a nucleus with 78 protons and an atomic mass of 203.980762...
A Pt-204 atom (platinum-204) has a nucleus with 78 protons and an atomic mass of 203.980762 u. What is the nuclear binding energy per nucleon in this atom? 1.72 MeV 1603 MeV 20.6 MeV 12.7 MeV 7.86 MeV...
1 answers
Stock Valuation and Weighted Average Cost of Capital (WACC),Market price clalculations needed A firm has SAR...
Stock Valuation and Weighted Average Cost of Capital (WACC),Market price clalculations needed A firm has SAR 5,000 preferred stock that pays a dividend of 5%. What is the market price for the stock if the required rate of return is 7%?...
1 answers
"YAL DUNUS linical Scenario: Chemical Synapses, Neurotransmitters, and Drugs 1 of 2 Part E b their...
"YAL DUNUS linical Scenario: Chemical Synapses, Neurotransmitters, and Drugs 1 of 2 Part E b their desire and addict chanism would help an addict Heroin addicts can now be given pharmaceutica decrease their addiction? ► View Available Hint(s) O A drug that increases serotonin and dopamine ...
1 answers
3. The density of 30 % (w/w) aqueous hydrogen peroxide (H2O2, MW = 38 g/mole) is...
3. The density of 30 % (w/w) aqueous hydrogen peroxide (H2O2, MW = 38 g/mole) is 1.05 g/mL. Recall that this solution consists of H2O2 and water (a) What's the molarity (M) of 30 % (w/w) aqueous hydrogen peroxide? (20 points) a. 7.29 b. 8.29 C. 9.29 d. 10.29 e. 11.29 (b) How much volume (mL) of ...
1 answers
You throw a baseball directly upward at time t = 0 at an initial speed of...
You throw a baseball directly upward at time t = 0 at an initial speed of 14.1 m/s. What is the maximum height the ball reaches above where it leaves your hand? Ignore air resistance and take g = 9.80 m/s2. maximum height: 10.143 m At what times does the ball pass through half the maximum height? ea...
1 answers
PLEASE HELP!
A complex wave is made up of 15 sine waves. How many vertical lines will you see on an ideal frequency spectrum of this complex wave?A) 30B) 15C) The lines won’t be vertical, but horizontal.D) There are no vertical lines on a frequency spectrum....
1 answers
For the following questions, use these answers: a. yes (meaning at least some members have this...
For the following questions, use these answers: a. yes (meaning at least some members have this characteristic) b. no (no members have this characteristic) 14. Bryophytes have free-living gametophytes 15. Gymnosperms have free-living gametophytes. 6. Gymnosperms have flagellated sperm. 17. Angiosper...
1 answers
QUESTION 1 In the frame shown below dimension His 7m, y is 3m, L is 7m,...
QUESTION 1 In the frame shown below dimension His 7m, y is 3m, L is 7m, x is 4m, I is 4m, h is 3m. External loads are: the horizontal point load P of 2kN is applied at B, the clockwise moment M of 5kNm is applied at D, the vertical uniformly distributed load w of 1kN/m is applied on bar FJ. Calculat...
1 answers
Suppose the numbers of items a merchant sells per day are i.i.d. random variables with mean...
Suppose the numbers of items a merchant sells per day are i.i.d. random variables with mean 4 and standard deviation 2. Use the central limit theorem to determine approximately the probability that the merchant sells at least 160 items within the next 36 days?...
1 answers
7. Predict the SN2 product of this reaction: NaOH CHOH 8. 1-bromo-2-methylcyclohexane reacts via an SN1...
7. Predict the SN2 product of this reaction: NaOH CHOH 8. 1-bromo-2-methylcyclohexane reacts via an SN1 mechanism to produce 2 products. Draw the carbocation intermediate that led to each individual product. Qarakia...
1 answers
My original question: How many gallons of paint are necessary to paint the walls of a 15' by 12' room with an 8' ceiling if one gallon of paint covers 80 square feet
My original question:How many gallons of paint are necessary to paint the walls of a 15' by 12' room with an 8' ceiling if one gallon of paint covers 80 square feet?Your response is quite clear to me. Please write it in simple form. Thanks....
1 answers
Exercise 9-16 (Algo) Flexible Budget Performance Report [LO9-1, LO9-2, LO9-3, LO9-4] Air Qual Test Corporation provides...
Exercise 9-16 (Algo) Flexible Budget Performance Report [LO9-1, LO9-2, LO9-3, LO9-4] Air Qual Test Corporation provides on-site air quality testing services. The company has provided the following cost formulas and actual results for the month of February Fixed Component per Month Revenue Technician...
1 answers
Exercise 11-21 Cash dividends, treasury stock, and statement of retained earnings LO C3, P2, P3 Alexander...
Exercise 11-21 Cash dividends, treasury stock, and statement of retained earnings LO C3, P2, P3 Alexander Corporation reports the following components of stockholders' equity at December 31, 2018. Common stock-$25 par value, 60,000 shares authorized, 40,000 shares issued and outstanding Paid-in ...
1 answers
Determine whether each wavefunctions are valid? Which follows the Pauli Exclusion Rule. b. [ls(1)2s(2) - 1s(2)2s(1)]a(1)a(2)...
Determine whether each wavefunctions are valid? Which follows the Pauli Exclusion Rule. b. [ls(1)2s(2) - 1s(2)2s(1)]a(1)a(2) [1s(1)2s(2)-1s(2)2s(1)][αφβ(2)-a(2)β(1)] [1s(1)2s(2)a(1)β(2)]-[1s(2)2s(1)a(2)β(1)] + [1s(1)2s(2)α(2)βφ] [1 s(2)2s(1 )α(1) &...
1 answers
Exercise 20-14 Johnson Enterprises uses a computer to handle its sales invoices. Lately, business has been...
Exercise 20-14 Johnson Enterprises uses a computer to handle its sales invoices. Lately, business has been so good that it takes an extra 3 hours per night, plus every third Saturday, to keep up with the volume of sales invoices. Management is considering updating its computer with a faster model th...

-- 0.011465--