Question

Express the polynomial below by nesting. f(x)=4x³+3x²+2x-4​

Answer 1

Answer:

$f(x)=4x^{3} +3x^{2} +2x-4$ can be expressed in nested form as $((4x+3)x+2)x-4$

Step-by-step explanation:

Considering the polynomial

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

Expressing the polynomial by nesting

So,

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

Step 1) Writing down the coefficient and one factor of x from the first term and add on the coefficient of the next term.

$4x+3$

Step 2) Enclose this term in brackets, multiply by x and add on the next coefficient.

$(4x+3)x+2$

Step 3) Repeating the previous step until all terms are within the equation.

So,

$((4x+3)x+2)x-4$

Therefore, $f(x)=4x^{3} +3x^{2} +2x-4$ can be expressed in nested form as $((4x+3)x+2)x-4$

Keywords: polynomial, nesting form

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