How do you factor the expression 3x^2+ 10x + 7?

3 Answers
Harish Chandra Rajpoot
Jul 27, 2018

(x+1)(3x+7)

Explanation:

Given quadratic polynomial:

3x^2+10x+7

=3x^2+3x+7x+7

=3x(x+1)+7(x+1)

=(x+1)(3x+7)

maganbhai P.
Jul 27, 2018

p(x)=(x+1)(3x+7)

Explanation:

Let ,

p(x)=3x^2+color(red)(10x)+7

Here ,

color(blue)(3 xx7=21 and 3+7=10

:.p(x)=ul(3x^2+color(red)(3x))+ul(color(red)(7x)+7)

:.p(x)=3x(x+1)+7(x+1)

:.p(x)=(x+1)(3x+7)

Jacobi J.
Jul 28, 2018

(3x+7)(x+1)

Explanation:

We can use the strategy factoring by grouping. Here, we can split up the b term so we can factor the left and right sides.

Here's what I mean. We can rewrite this as

color(steelblue)(3x^2+3x)+color(purple)(7x+7)

Out of the blue term, we can factor out a 3x, and the purple term, we can factor out a 7. This leaves us with:

color(steelblue)(3x(x+1))+color(purple)(7(x+1))

Since both terms have an x+1 in common, we can factor that out to get

(3x+7)(x+1)

Hope this helps!

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