Question

Which of the following is one of the factor of 20x2 - 29x + 5? Justify your answer.
a) 4x – 1
b) 5x – 1
c) 4x - 5
d) Both b and c

Answer 1

(1): "x2" was replaced by "x^2".

Equation at the end of step 1

((22•5x2) - 29x) + 5

Trying to factor by splitting the middle term

2.1 Factoring 20x2-29x+5

The first term is, 20x2 its coefficient is 20 .

The middle term is, -29x its coefficient is -29 .

The last term, "the constant", is +5

Step-1 : Multiply the coefficient of the first term by the constant 20 • 5 = 100

Step-2 : Find two factors of 100 whose sum equals the coefficient of the middle term, which is -29 .

-100 + -1 = -101

-50 + -2 = -52

-25 + -4 = -29 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -25 and - 20x2 - 25x - 4x - 5

Step-4 : Add up the first 2 terms, pulling out like factors :

5x • (4x-5)

Add up the last 2 terms, pulling out common factors :

1 • (4x-5)

Step-5 : Add up the four terms of step 4 :

(5x-1) • (4x-5)

Which is the desired factorization

So option (d) is correct answer

Answer 2

Answer:

the answer is option b

Step-by-step explanation:

to justify this problem you need to factorize it .