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Factorisation by Regrouping Terms

Factorise Com...

Question

Factorise Completely : $3 x^{2} + 15 x - 72$

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Solution

$3 x^{2} + 15 x - 72 = 3 (x^{2} + 5 x - 24) = 3 [x^{2} + 8 x - 3 x - 24] = 3 [x (x + 8) - 3 (x + 8)] = 3 [(x + 8) (x - 3)] = 3 (x + 8) (x - 3)$

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Similar questions

Q. Solve the equation :

3 x^{2} + 15 x - 72

Q. State whether True or False.

Factorization of

3 x^{2} + 15 x - 72

3 (x + 8) (x - 3)

.

Q. For what value of k, is the polynomial f(x) = 3x⁴ – 9x³ + x² + 15x + k completely divisible by 3x² – 5?

15 x + 5

15 x + 5

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Factorisation by Regrouping Terms

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