Question

Multiply the following polynomials.

(3x²- 5x + 2)(7x + 1)


A. 21x³- 35x²+ 14x + 1
B. 21x³+ 38x²+ 19x + 2
C. 21x³+ 3x²+ 14x + 2
D. 21x³- 32x²+ 9x + 2

Answer 1

D. 21x³- 32x²+ 9x + 2

Explanation:

( 3 x²- 5 x + 2 ) ( 7 x + 1 )

Using distributive property

7 x ( 3 x²- 5 x + 2 ) + 1 ( 3 x²- 5 x + 2 )

multiply,

21 x ³ - 35 x² + 14 x + 3 x² - 5 x + 2

arranging like terms together

21 x³ - 35 x² + 3 x² + 14 x - 5 x + 2

21 x ³ - 32 x² + 9 x + 2

Answer 2

21x^3-32x^2+9x+2

Explanation:

(3x²- 5x + 2)(7x + 1)

Distribute

7x* (3x²- 5x + 2) + 1 *(3x²- 5x + 2)

21 x^3 -35x^2 +14x + (3x²- 5x + 2)

Combine like terms

21x^3-32x^2+9x+2