Factoring to find the x-intercepts Lesson Slides: 3 Slides

3 Slides • 7 Questions

1

Factoring to find the x-intercepts

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Multiple Choice

Bell work: find f(x)g(x) multiplication

$if\ f\left(x\right)=3x+4\ and\ g\left(x\right)=2x^2+1\$

1

$6x^3+8x^2+3x+4$

2

$4x^2+3x-2$

3

$6x^3+3x+8x+4$

3

Objective: Today we will learn to factor quadratic equations to find the x-intercepts (Zeros)

4

Rules to factor a quadratic

Make sure the equation equals Zero f(x)=0 because you are looking for the x-intercept

If you have two terms factor out a common value (the higher the better)

Most of the time you will have two values, why is that?

If there are three terms, factor by using the tic-tac-toe method

Always check your terms

5

Multiple Choice

Factor the following equation

f\left(x\right)=47x^2-48x

1

48

2

$\frac{48}{47}$

3

47

4

no solution

6

Multiple Choice

Factor

225x^2-1=0

1

$\frac{1}{15}$

2

$-\frac{1}{15}$

3

$\frac{1}{15\ }and\ -\frac{1}{15}$

4

no solution

7

Multiple Choice

Factor

f\left(p\right)=2p^2-28p+98

1

7

2

3

2 and 7

4

44

8

Multiple Choice

Find the zeros

x^2-25x+24=0

1

24

2

24, 1

3

7

4

-24, -1

9

Multiple Choice

Find the zeros

3x^2-7x-6=0

1

$3\ and\ -\frac{2}{3}$

2

$-\frac{2}{3}$

3

$Imaginary\ number\$

4

$7\ and\ 8$

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Multiple Choice

factor

f\left(t\right)=4t^2-43t-11

1

$11\ and\ \frac{1}{4}$

2

$11\ and\ -\frac{1}{4}$

3

$-11\ and\ \frac{1}{4}$

4

$-\frac{1}{4}\ and\ -11$

Factoring to find the x-intercepts

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