Which of the following expressions are factors of p(x)=60x4+24x3−45x2−18x?

Mathematics

1 answer:

Whitepunk [10]3 years ago

5 0

The factors are 3x, 4x^2-3 and 5x+2

So, Option B, C and F are correct.

Step-by-step explanation:

We need to find factors of the expression $p(x)=60x^4+24x^3-45x^2-18x$

Solving the expression: $p(x)=60x^4+24x^3-45x^2-18x$

Taking 3x common:

$p(x)=3x(20x^3+8x^2-15x-6)$

Now, factor by grouping, the terms inside the bracket.

$p(x)=3x((20x^3+8x^2)+(-15x-6))$

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

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

So, the factors are 3x, 4x^2-3 and 5x+2

So, Option B, C and F are correct.

Keywords: Finding Factors

Learn more about finding factors at:

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