Find the expansion of
$(x + 5) (x - 3) (x - 1)$

x^{3} + x^{2} - 17 x + 15

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x^{3} + x^{2} + 17 x + 15

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x^{3} - x^{2} - 17 x + 15

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None of these

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Solution

The correct option is A $x^{3} + x^{2} - 17 x + 15$
$(x + 5) (x - 3) (x - 1)$

$= (x^{2} + 2 x - 15) (x - 1)$

$= x^{3} - x^{2} + 2 x^{2} - 2 x - 15 x + 15$

$= x^{3} + x^{2} - 17 x + 15$

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Similar questions

Factorize: x³ + x² - 17x + 15

Q. Factorize

x^{3} + x^{2} - 17 x + 15

Q. Which of the following are factors of

f (x) = x^{3} - x^{2} - 17 x - 15

Question 24
Factorise
(i) $2 x^{3} - 3 x^{2} - 17 x + 30$

(ii) $x^{3} - 6 x^{2} + 11 x - 6$

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

(iv) $3 x^{3} - x^{2} - 3 x + 1$

Question 24
Factorise
(i) $2 x^{3} - 3 x^{2} - 17 x + 30$

(ii) $x^{3} - 6 x^{2} + 11 x - 6$

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

(iv) $3 x^{3} - x^{2} - 3 x + 1$

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Find the expansion of(x+5)(x−3)(x−1)

The correct option is A x3+x2−17x+15(x+5)(x−3)(x−1)=(x2+2x−15)(x−1)=x3−x2+2x2−2x−15x+15=x3+x2−17x+15

Find the expansion of
$(x + 5) (x - 3) (x - 1)$

The correct option is A $x^{3} + x^{2} - 17 x + 15$
$(x + 5) (x - 3) (x - 1)$

$= (x^{2} + 2 x - 15) (x - 1)$

$= x^{3} - x^{2} + 2 x^{2} - 2 x - 15 x + 15$

$= x^{3} + x^{2} - 17 x + 15$