Question

select the correct answer. find the product of the given polynomials. (5x + 5 - 2x)(4 + 7x - 1) 21x² + 44x + 15 21x² + 15x + 44 21x² + 24x + 15 9x² + 35x + 15

Explanation:

Step1: Simplify the polynomials

First, simplify $(5x + 5-2x)$ to $3x + 5$ and $(4 + 7x-1)$ to $3 + 7x$.

Step2: Use FOIL method

$(3x + 5)(7x+3)=3x\times7x+3x\times3 + 5\times7x+5\times3$.

Step3: Calculate each term

$3x\times7x = 21x^{2}$, $3x\times3=9x$, $5\times7x = 35x$, $5\times3 = 15$.

Step4: Combine like - terms

$21x^{2}+(9x + 35x)+15=21x^{2}+44x + 15$.

Answer:

$21x^{2}+44x + 15$