2 years ago

N2 + 7n +12 Factored form

1 answer:

8 0

Were you trying to say n^2+7n+12? If so...

Answer: (n+4)(n+3)

Step by Step:
n^2+7n+12
n^2+4n+3n+12
n(n+4)+3(n+3)
(n+4)(n+3)

If not and you were trying to simplify... n2+7n+12
Answer: 9n+12

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What is the remainder when the polynomial 6x2+11x−3 is divided by 2x−1?

o-na [289]

Answer: 4

There are three different ways to find the remainder. Since I don't know which lesson you are working on, I will show you all three methods.

Long Division:

3x + 7

2x - 1 ) 6x² + 11x - 3

- (6x² - 3x) ↓

14x - 3

- (14x - 7)

Synthetic Division:

2x - 1 = 0 ⇒ x = $\frac{1}{2}$

$\frac{1}{2}$ | 6 11 -3

| ↓ 3 7

6 14 4

Remainder Theorem:

2x - 1 = 0 ⇒ x = $\frac{1}{2}$

f(x) = 6x² + 11x - 3

f( $\frac{1}{2}$ ) = 6( $\frac{1}{2}$ )² + 11( $\frac{1}{2}$ ) - 3

= 6( $\frac{1}{4}$ ) + $\frac{11}{2}$ - 3

= $\frac{3}{2}$ + $\frac{11}{2}$ - $\frac{6}{2}$

= $\frac{8}{2}$

= 4

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