Question

Isiah determined that 5a2 is the GCF of the polynomial
a3 – 25a2b5 – 35b4. Is he correct? Explain.

Answer 1

SOLUTION

TO DETERMINE

Isiah determined that $\sf{5 {a}^{2} }$

is the GCF of the polynomial

$\sf{ {a}^{3} - 25 {a}^{2} {b}^{5} - 35 {b}^{4} }$

Is he correct? Explain.

EVALUATION

Here the given polynomial is

$\sf{ {a}^{3} - 25 {a}^{2} {b}^{5} - 35 {b}^{4} }$

Now

$\sf{ {a}^{3} = a.a.a }$

$\sf{ 25 {a}^{2} {b}^{5} = 5.5.a.a.b.b.b.b.b }$

$\sf{ 35 {b}^{4} = 5.7.b.b.b.b }$

Hence GCF = 1

So Isiah was wrong

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