Question

6. Multiply:
(1) (5x^2 + 4x - 2) by (3 - x - 4x²)​

Answer 1

Step-by-step explanation:

I HOPE IT WILL HELP YOU!!!!!

Answer 2

Answer: $(-20x^{4}-21x^{3}+19x^{2} +14x-6)$

Concept: This question is from 'Algebra'. Here we have to do multiplication of two polynomials, to do this type of question we must know about operations on variables multiply, subtraction, and addition.

Given: Two variables $(5x^{2} +4x-2) and (3-x-4x^{2} )$

To Find: Product of given polynomial

Solution:

     $(5x^{2} +4x-2)$ × $(3-x-4x^{2} )$

= $5x^{2} (3-x-4x^{2} )+4x(3-x-4x^{2} )-2(3-x-4x^{2} )$

$= 15x^{2} -5x^{3}-20x^{4} +12x-4x^{2}-16x^{3}-6+2x+8x^{2}$

now write like terms together

$= -20x^{4}-5x^{3}-16x^{3}+15x^{2} -4x^{2} +8x^{2} +12x+2x-6$

$= -20x^{4}-21x^{3} +19x^{2} +14x-6$

Hence, $(-20x^{4}-21x^{3}+19x^{2} +14x-6)$ is the product of the given two polynomials.