Question

(y^2 + 7y + 10) ÷ (y + 5) step by step ans pls​

Answer 1

Simplify ——

y

Equation at the end of step

1

:

10

(((y2) + 7y) - ——) + 5

y

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using y as the denominator :

y2 + 7y (y2 + 7y) • y

y2 + 7y = ——————— = —————————————

1 y

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

STEP

3

:

Pulling out like terms

3.1 Pull out like factors :

y2 + 7y = y • (y + 7)

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

y • (y+7) • y - (10) y3 + 7y2 - 10

———————————————————— = —————————————

y y

Equation at the end of step

3

:

(y3 + 7y2 - 10)

——————————————— + 5

y

STEP

4

:

Rewriting the whole as an Equivalent Fraction :

4.1 Adding a whole to a fraction

Rewrite the whole as a fraction using y as the denominator :

5 5 • y

5 = — = —————

1 y

Polynomial Roots Calculator :

4.2 Find roots (zeroes) of : F(y) = y3 + 7y2 - 10

Polynomial Roots Calculator is a set of methods aimed at finding values of y for which F(y)=0

Answer 2

Answer:  $y+2$

Step-by-step explanation:

⇒  $\frac{y^{2} +7y+10}{y+5}$

⇒  $\frac{y^{2}+5y + 2y + 10 }{y+5}$

⇒  $\frac{y (y+2) + 5(y +2)}{y+5}$

⇒  $\frac{(y+5) (y+2)}{(y+5)}$

⇒  $y+2$

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