Factorised form of p² - 17p - 38 is
(a) (p - 19) (p + 2)
(b) (p - 19) (p - 2)
(c) (p + 19) (p + 2)
(d) (p + 19) (p - 2)

Solution:

Correct option is (a)

Given, p² - 17p - 38

On factoring this polynomial, we get

= p² - 19p + 2p - 38

= p(p - 19) + 2(p -19)

= (p + 2) (p - 19)

✦ Try This: Factorised form of x² - 16x + 63 is (a) (x - 7)(x + 9), (b) (x - 7)(x - 9), (c) (x + 7)(x - 9), (d) (x + 7)(x + 9)

Correct option is (b)

Given, x² - 16x + 63

= x² - 9x - 7x + 63

= x( x - 9) - 7(x - 9)

= (x - 7)(x - 9)

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 9

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NCERT Exemplar Class 8 Maths Chapter 7 Problem 21

Factorised form of p² - 17p - 38 is (a) (p - 19) (p + 2), (b) (p - 19) (p - 2), (c) (p + 19) (p + 2), (d) (p + 19) (p - 2)

Summary:

Factorised form of p² - 17p - 38 is (p + 2) (p - 19)

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