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Coefficients of Terms of a Polynomial

Write the coe...

Question

Write the coefficient of $x^{2}$ in each of the following:
$(x - 1) (3 x - 4)$

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Solution

Finding the coefficient:
A coefficient is a multiplicative factor in terms of a polynomial.
$(x - 1) (3 x - 4) = 3 x^{2} - 7 x + 4$
The coefficient of $x^{2}$ in the given polynomial is $3$ .
Hence, the coefficients of $x^{2}$ in the given polynomials is $3$ .

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Simplify each of the following and write as a single polynomial.

(i)

(ii)

(iii)

(iv)

(v)

Write the coefficient of $x^{2}$ in the following:

$x^{2} - x + 4$

Write the coefficients of in each of the following:

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(iii) (iv)

x^{2}

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3 x - 5

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(2 x - 5) (2 x^{2} - 3 x + 1)

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2 + 3 x - 4 x^{2} + x^{3}

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