What is 3x^2 + 10x + 8?

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What is 3x^2 + 10x + 8?

$3 x^{2} + 10 x + 8$ $3x^2 + 10x + 8$

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Answer 1 · 2018-04-26T08:24:25

$(3 x + 4) (x + 2)$ $(3x+4)(x+2)$

Explanation:

$assuming you require factorisation of the quadratic$ $"assuming you require factorisation of the quadratic"$

$using the a-c method of factoring$ $"using the a-c method of factoring"$

$the factors of the product 3 \times 8 = 24$ $"the factors of the product "3xx8=24$

$which sum to + 10 are + 6 and + 4$ $"which sum to + 10 are + 6 and + 4"$

$split the middle term using these factors$ $"split the middle term using these factors"$

$\Rightarrow 3 x^{2} + 6 x + 4 x + 8 \leftarrow factor by grouping$ $rArr3x^2+6x+4x+8larrcolor(blue)"factor by grouping"$

$= 3 x (x + 2) + 4 (x + 2)$ $=color(red)(3x)(x+2)color(red)(+4)(x+2)$

$take out the common factor (x + 2)$ $"take out the "color(blue)"common factor "(x+2)$

$= (x + 2) (3 x + 4)$ $=(x+2)(color(red)(3x+4))$

$\Rightarrow 3 x^{2} + 10 x + 8 = (x + 2) (3 x + 4)$ $rArr3x^2+10x+8=(x+2)(3x+4)$

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What is 3x^2 + 10x + 8?

$3 x^{2} + 10 x + 8$ $3x^2 + 10x + 8$

1 Answer

Explanation:

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What is 3x^2 + 10x + 8?

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$3 x^{2} + 10 x + 8$ $3x^2 + 10x + 8$