Factor completely: x^(2)(x+1)+3x(x+1)-70(x+1) Answer:

Factor out common term: First, notice that each term in the expression contains a common factor of (x+1). We can factor out (x+1) from each term. x^(2)(x+1)+3x(x+1)-70(x+1) = (x+1)(x^2 + 3x - 70)Factor quadratic expression: Now we need to factor the quadratic expression x^2 + 3x - 70. We look for two numbers that multiply to -70 and add up to 3. These numbers are 10 and -7. x^2 + 3x - 70 = (x + 10)(x - 7)Combine factored parts: We can now write the completely factored form of the original expression by combining the factored parts. (x+1)(x^2 + 3x - 70) = (x+1)(x + 10)(x - 7)

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Factor completely:

x^(2)(x+1)+3x(x+1)-70(x+1)
Answer:

Factor completely: $\newline$ $x^{2}(x+1)+3 x(x+1)-70(x+1)$ $\newline$ Answer:

View step-by-step help

Home

Math Problems

Calculus

Find derivatives of using multiple formulae

Full solution

Q. Factor completely:

\newline

x^{2}(x+1)+3 x(x+1)-70(x+1)

\newline

Answer:

Factor out common term: First, notice that each term in the expression contains a common factor of $(x+1)$ . We can factor out $(x+1)$ from each term. $\newline$ $x^{2}(x+1)+3x(x+1)-70(x+1) = (x+1)(x^2 + 3x - 70)$
Factor quadratic expression: Now we need to factor the quadratic expression $x^2 + 3x - 70$ . We look for two numbers that multiply to $-70$ and add up to $3$ . These numbers are $10$ and $-7$ . $\newline$ $x^2 + 3x - 70 = (x + 10)(x - 7)$
Combine factored parts: We can now write the completely factored form of the original expression by combining the factored parts. $\newline$ $(x+1)(x^2 + 3x - 70) = (x+1)(x + 10)(x - 7)$