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Expanding and factoringAlgebraHigh schoolabout 0:31

Factor x^2 + 7x: animated lesson

A narrated, step-by-step expanding and factoring video lesson with captions. Final answer: x(x + 7).

SpeedLanguage

Video with a synthetic English voice and captions. Pick another language for subtitles in that language, or open the interactive version.

Video narrated by a synthetic voice (Piper TTS, en_US-ljspeech-high voice (LJ Speech dataset, public domain)); the steps come from our maths engine and the answer was checked independently. Download MP4 (0.2 MB) · Captions (WebVTT)

Steps on screen

1. The problem
Worked example
$x^{2} + 7x$
2. Step by step
1. $x^{2} + 7x$
  Write the polynomial in standard form
2. $x^{2} + 7x = x\left(x + 7\right)$
  Factor out the greatest common factor
3. $x(x + 7)$
  Write the complete factorization
3. The answer
$x(x + 7)$
x^2 + 7x = x(x + 7)
4. Check
- Expanding x(x + 7) gives back x^2 + 7x.

Transcript

The problem. Here is the problem: x squared plus 7x. Factor a polynomial over the rational numbers.

Step by step. Write the polynomial in standard form. Factor out the greatest common factor. Every term is divisible by x. Write the complete factorization.

The answer. So the answer is x(x plus 7). x squared plus 7x factors completely over the rationals as x(x plus 7).

Check. Expanding x(x plus 7) gives back x squared plus 7x.

About expanding and factoring

Expand products of brackets and factor polynomials completely.

Factor x^2 + 7x: Expanding and factoring Step-by-Step Lesson