Quiz about Polynomial Factorization

Question 1

Will factored $$7 x^{6}$$ as $$(3 x^{2})(4 x^{4})$$. Olivia factored $$7 x^{6}$$ as $$(7 x^{2})(x^{3})$$.

Which of them factored $$7 x^{6}$$ correctly?

Accepted Answer

Covalent bond

Answer

Neither Will nor Olivia

Answer

Only Will

Answer

only Olivia

Answer

Both Will and Olivia

Question 2

An expression is given.

$$(2 x+8)(5 x-7)$$

Which expression is equivalent to the given expression?

Accepted Answer

Covalent bond

Answer

$$10 x^{2}+26 x-56$$

Answer

$$10 x^{2}-56$$

Answer

$$10 x^{2}+54 x+56$$

Answer

$$36 {x}-56$$

Question 3

We want to factor the following expression: $$4 x^{4}-9 y^{4}$$

We can factor the expression as $$({U}+{V})({U}-{V})$$ where $${U}$$ and $${V}$$ are either constant integers or single-variable expressions.

What are U and V?

Accepted Answer

Covalent bond

Answer

$$U=2 x^{2} 	ext { and } V=3 y^{2}$$

Answer

$$U=x^{2} 	ext { and } V=3 y^{2}$$

Answer

$$U=4 x^{4} 	ext { and } v=9 y^{4}$$

Answer

$$U=2x^{2} 	ext { and } V=9 y^{2}$$

Question 4

We want to factor the following expression: $$9 x^{6}+6 x^{3} y+y^{2}$$

Which pattern can we use to factor the expression?

$$U$$ and $$V$$ are either constant integers or single-variable expressions.

Accepted Answer

Covalent bond

Answer

$$(u+v)^{2}	ext { or }(u-v)^{2}$$

Answer

$$u^2-v^2$$

Answer

$$u^2+v^2$$

Answer

We cannot use any of the patterns

Question 5

Factor the polynomial $$44 k^{5}-66 k^{4}+77 k^{3}$$ by its greatest common monomial factor.

Accepted Answer

Covalent bond

Answer

$$11 k^{3}(4 k^{2}-6 k+7)$$

Answer

$$4 k^{2}-6 k+7$$

Answer

$$11 k^{3}$$

Answer

$$2 k^{2}-7 k+3$$

Polynomial Factorization Algebra 2 Maths Problems and Solutions