Question

Factorize each of the following quadratic polynomials:
(i) x² – 23x + 132 (ii) x² – 21x + 108 (iii) x² +5x – 36​

Answer 1

Answers:

Step by step explanation:

i) x² - 23x + 132

Factorising:

x² - 12x - 11x + 132

x(x - 12) - 11(x - 12)

(x - 11) (x - 12)

These are the factors of given quadratic polynomial.

ii) x² - 21x + 108

x² - 12x - 9x + 108

x(x - 12) - 9(x - 12)

(x - 9) (x - 12)

These are the factors of given quadratic polynomial.

iii) x² + 5x - 36

x² + 9x - 4x - 36

x(x + 9) - 4(x + 9)

(x - 4) (x + 9)

These are the factors of given quadratic polynomial.

Quadratic polynomial is a polynomial with one or more variables where the highest-degree is 2.

A quadratic polynomial is written as ax² + bx + c. Here, x is an unknown variable, and a, b & c are constants where a ≠ 0.

Answer 2

Step-by-step explanation:

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