Math  /  Algebra

Questiona) Factorise x2+9x+14x^{2}+9 x+14. b) By sketching a graph, solve the inequality x2+9x+140x^{2}+9 x+14 \leq 0.

Studdy Solution
The solution to the inequality is the interval where the quadratic is less than or equal to zero, which is:
7x2 -7 \leq x \leq -2
The factorization of the quadratic is:
a) (x+7)(x+2) (x + 7)(x + 2)
The solution to the inequality is:
b) 7x2 -7 \leq x \leq -2

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