Question

find the result of subtracting $-3x^2 + 5x - 7$ from $x^2 - 2x + 1$.
a. $-4x^2 + 7x - 8$
b. $4x^2 - 7x + 8$
c. $4x^2 + 3x - 6$
d. $4x^2 - 7x - 8$

Explanation:

Step1: Set up subtraction expression

$(x^2 - 2x + 1) - (-3x^2 + 5x - 7)$

Step2: Distribute the negative sign

$x^2 - 2x + 1 + 3x^2 - 5x + 7$

Step3: Combine like $x^2$ terms

$x^2 + 3x^2 = 4x^2$

Step4: Combine like $x$ terms

$-2x - 5x = -7x$

Step5: Combine constant terms

$1 + 7 = 8$

Step6: Assemble final polynomial

$4x^2 -7x +8$

Answer:

b. $4x^2 -7x +8$