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Mathematics
6. Factorization of Polynomials
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Q1 of 96 Page 6

Define zero or root of a polynomial.

The zeros are the roots, or where the polynomial crosses the axis. A polynomial will have 2 roots that mean it has 2 zeros. To find the roots you can graph and look where it crosses the axis, or you can use the quadratic equation. This is also known as the solution.


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17

Using factor theorem, factorize each of the following polynomial:

x3-2x2-x+2

18

Factorize each of the following polynomials:

(i) x3+13x2+31x-45 given that x+9 is a factor


(ii) 4x3+20x2+33x+18 given that 2x+3 is a factor.

2

If x = is a zero of the polynomial f(x) =8x3+ax2-4x+2, find the value of a.

3

Write the remainder when the polynomial f(x) =x3+x2-3x+2 is divided by x+1.

Questions · 96
6. Factorization of Polynomials
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