Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Factor. $\newline$ $2h^2 + 24h - 26$

View step-by-step help

View step-by-step help

Factor quadratics

Full solution

Q. Factor.

\newline

2h^2 + 24h - 26

Find Numbers: First, we need to find two numbers that multiply to $2 \times (-26) = -52$ and add up to $24$ .
Verify Numbers: Looking for two such numbers, we find that $26$ and $-2$ work because $26 \times (-2) = -52$ and $26 + (-2) = 24$ .
Rewrite Middle Term: Now, we rewrite the middle term using $26$ and $-2$ : $2h^2 + 26h - 2h - 26$ .
Factor by Grouping: Next, we factor by grouping: $2h^2 + 26h$ + $-2h - 26$ .
Factor Common Terms: Factor out the common terms from each group: $2h(h + 13) - 2(h + 13)$ .
Factor Out: Now, we can factor out $(h + 13)$ from both terms: $(2h - 2)(h + 13)$ .
Final Simplification: Finally, we can factor out a $2$ from the first term to simplify: $2(h - 1)(h + 13)$ .

More problems from Factor quadratics

Question

Factor out the greatest common factor. If the greatest common factor is

1

, just retype the polynomial.

\newline

4x^3 - 6x^2

\newline

Posted 2 months ago

Question

x^4 + 8x^2 + 16

\newline

All factors in your answer should have integer coefficients.

\newline

Posted 2 months ago

Question

Find the binomial that completes the factorization.

\newline

t^3 + u^3 = (\underline{\hspace{1cm}}) (t^2 - tu + u^2)

Posted 2 months ago

Question

\newline

g^2 - 11g + 18

Posted 2 months ago

Question

\newline

2y^3 - y^2 + 16y - 8

\newline

\newline

Posted 2 months ago

Question

\newline

2x^8 + 7x^2

\newline

Posted 3 months ago

Question

\newline

9y^{12} + 4y^5 - y^2

\newline

Posted 3 months ago

Question

\newline

6a^4 + 3a^3 - a + 2

\newline

Posted 3 months ago

Question

\newline

4c^7 - 2c^5 + c^2 - 5

\newline

Posted 3 months ago

Question

\newline

7m^9 + 2m^6 - m^3 + 4m - 10

\newline

Posted 3 months ago